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- Question 1, Exercise 8.1
- Question 2, Exercise 8.1
- Question 3, Exercise 8.1
- Question 4, Exercise 8.1
- Question 5 and 6, Exercise 8.1
- Question 7, Exercise 8.1
- Question 8, Exercise 8.1
- Question 9, Exercise 8.1
- Question 10, Exercise 8.1
- Question 11, Exercise 8.1
- Question 12, Exercise 8.1
- Question 13, Exercise 8.1
- Question 14, Exercise 8.1
- Question 1, 2 and 3 Exercise 8.2
- Question 4 Exercise 8.2
- Question 5 Exercise 8.2
- Question 6 Exercise 8.2
- Question 7 Exercise 8.2
- Question 8(i, ii & iii) Exercise 8.2
- Question 8(iv, v & vi) Exercise 8.2
- Question 8(vii, viii & ix) Exercise 8.2
- Question 8(x, xi & xii) Exercise 8.2
- Question 8(xiii, xiv & xv) Exercise 8.2
- Question 8(xvi, xvii & xviii) Exercise 8.2
- Question 8(xix, xx, xxi & xxii) Exercise 8.2
- Question 1(i, ii, iii & iv) Exercise 8.3
- Question 1(v, vi, vii & viii) Exercise 8.3
- Question 1(ix, x & xi) Exercise 8.3
- Question 2(i, ii, iii, iv and v) Exercise 8.3
- Question 3(i, ii, iii, iv & v) Exercise 8.3
- Question 3(vi, vii, viii, ix & x) Exercise 8.3
- Question 3(xi, xii & xiii) Exercise 8.3
- Question 4 Exercise 8.3
- Question 1, Review Exercise
- Question 2, Review Exercise
- Question 3, Review Exercise
- Question 4, Review Exercise
- Question 5 and 6, Review Exercise
- Question 7, Review Exercise
- Question 8, Review Exercise
- Question 9, Review Exercise
- Question 10, Review Exercise
Fulltext results:
- Question 11, Exercise 8.1
- ====== Question 11, Exercise 8.1 ====== Solutions of Question 11 of Exercise 8.1 of Unit 08: Fundamental of Trigonometry... ook Board, Islamabad, Pakistan. ===== Question 11(i)===== Show that: $\dfrac{\sin \left(180^{\circ}... & = 1 = R.H.S \end{align*} GOOD ===== Question 11(ii)===== Show that: $\dfrac{\sin \left(90^{\circ}
- Question 10, Exercise 8.1
- == <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p8|< Question 9 ]]</btn></te... t> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-1-p10|Question 11 >]]</btn></text>
- Question 12, Exercise 8.1
- == <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p10|< Question 11 ]]</btn></text> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-1-p12|Question 13 >]]</btn></t
- Question 14, Exercise 8.1
- gle between the wires. ** Solution. ** {{ :math-11-nbf:sol:unit08:math-11-nbf-ex8-1-q14.svg |Question 14: Solution}} Let wires are fasten at point A on... qrt{58}}\times \sin45^\circ \\ & = (0.39391)(0.70711) + (0.91915)(0.70711) \\ &=0.9285 \end{align*} **d.** As \begin{align*} \cos(\theta - \alpha) & =0
- Question 1, 2 and 3 Exercise 8.2
- in standard position. ** Solution. ** {{ :math-11-nbf:sol:unit08:math-11-nbf-ex8-2-q1.svg |}} Given: $x=-3$ and $y=4$. \begin{align*} r&= \sqrt{(-3)^... = <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-2-p2|Question 4 >]]</btn></tex
- Question 2, Review Exercise
- rac{5}{12})} \\ &= \frac{-14}{12}\times \frac{16}{11} \\ &= -\frac{56}{33} \end{align*} =====Question... == <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:Re-ex-p1|< Question 1]]</btn></tex... t> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:Re-ex-p3|Question 3 >]]</btn></tex
- Question 2, Exercise 8.1
- == <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p1|< Question 1 ]]</btn></te... t> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-1-p3|Question 3 >]]</btn></tex
- Question 3, Exercise 8.1
- == <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p2|< Question 2 ]]</btn></te... t> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-1-p4|Question 4 >]]</btn></tex
- Question 4, Exercise 8.1
- == <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p3|< Question 3 ]]</btn></te... t> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-1-p5|Question 5 & 6 >]]</btn><
- Question 5 and 6, Exercise 8.1
- == <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p4|< Question 4 ]]</btn></te... t> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-1-p6|Question 7 >]]</btn></tex
- Question 7, Exercise 8.1
- == <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p5|< Question 5 & 6 ]]</btn>... t> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-1-p7|Question 8 >]]</btn></tex
- Question 8, Exercise 8.1
- == <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p6|< Question 7 ]]</btn></te... t> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-1-p8|Question 9 >]]</btn></tex
- Question 9, Exercise 8.1
- == <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p7|< Question 8 ]]</btn></te... t> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-1-p9|Question 10 >]]</btn></te
- Question 13, Exercise 8.1
- == <text align="left"><btn type="primary">[[math-11-nbf:sol:unit08:ex8-1-p11|< Question 12 ]]</btn></... t> <text align="right"><btn type="success">[[math-11-nbf:sol:unit08:ex8-1-p13|Question 14 >]]</btn></t
- Question 4 Exercise 8.2
- right)^2 \\ & = 1 - \frac{288}{169} \\ & = -\frac{119}{169} \end{align*} \begin{align*} \implies \boxed{\cos 2\theta = -\frac{119}{169}}. \end{align*} %%(c)%% \(\tan 2 \theta\)... cos 2\theta} \\ & = \frac{\frac{120}{169}}{-\frac{119}{169}} \\ & = -\frac{120}{119} \end{align*} \begin{align*} \implies \boxed{\tan 2\theta = -\frac{120